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Proof step 22 from proof add-def-03 (previous step)

0 < j1, j2 < 0 ⊦ j2 = 0, rational(i1, j1) + rational(i2, j2) = rational(i1 * j2 + j1 * i2, j1 * j2)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 23:
⊦ j < 0 → rational(i, j) = rational(~ i, abs(j))
Proof step 24:
j2 < 0, 0 < j1, j2 < 0 ⊦ j2 = 0, rational(i1, j1) + rational(~ i2, abs(j2)) = rational(i1 * j2 + j1 * i2, j1 * j2)

Rule argument

name: denom-neg rotate: F subst: [j, i] → [j2, i2]

Additional information

Used terms: j2, i2